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Finding the Fourth Proportional to 16,642.31, 24,956.52 and 6,774.89

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Solution

The fourth proportional to 16,642.31, 24,956.52 and 6,774.89 is: 10,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.31 : 24,956.52 = 6,774.89 : x
  2. Step 2: Convert to fraction form
    16,642.31/24,956.52 = 6,774.89/x
  3. Step 3: Cross multiply
    16,642.31x = 24,956.52 × 6,774.89
  4. Step 4: Simplify right side
    16,642.31x = 169,077,553.00
  5. Step 5: Solve for x
    x = 169,077,553.00/16,642.31
  6. Step 6: Final answer
    x = 10,159.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.